A quantity is given by p = 5\cos\theta + 12\sin\theta, where 0^\circ 0 and 0^\circ<\alpha<90^\circ. What is the value of R?

AM-2553

R-formula

A Math · Secondary 4 · Hard · R-formula

A quantity is given by

p = 5\cos\theta + 12\sin\theta

, where

0^\circ<\theta<90^\circ

. Express

p

in the form

R\cos(\theta-\alpha)

, where

R>0

and

0^\circ<\alpha<90^\circ

. What is the value of

R

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